89461946880 has 960 divisors, whose sum is σ = 350710588800. Its totient is φ = 21821571072.

The previous prime is 89461946867. The next prime is 89461946881. The reversal of 89461946880 is 8864916498.

89461946880 is a `hidden beast` number, since 8 + 9 + 4 + 619 + 4 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (89461946881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3084894706 + ... + 3084894734.

It is an arithmetic number, because the mean of its divisors is an integer number (365323530).

Almost surely, 2^89461946880 is an apocalyptic number.

89461946880 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89461946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175355294400).

89461946880 is an abundant number, since it is smaller than the sum of its proper divisors (261248641920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89461946880 is an frugal number, since it uses more digits than its factorization.

89461946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 89461946880 in words is "eighty-nine billion, four hundred sixty-one million, nine hundred forty-six thousand, eight hundred eighty".